In this paper, we consider the problem of variable-length source coding allowing errors. The exponential moment of the codeword length is analyzed in the non-asymptotic regime and in the asymptotic regime. Our results show that the smooth Rényi entropy characterizes the optimal exponential moment of the codeword length. Index Terms ε source coding, exponential moment, the smooth Rényi entropy, ...

This paper presents the number of results concerning problems of asymptotic densities in the variety of propositional logics. We investigate, for propositional formulas, the proportion of tautologies of the given length n against the number of all formulas of length n. We are specially interested in asymptotic behavior of this fraction. We show what the relation between a number of premises of ...

the growth parameters, mortality rates and exploitation population dynamic parameters and exploitation rate of psettodes erumei were assessed between july 2010 to june 2011 using length frequency analysis. the data were collected from landing sites of jask, bandar abass, kong and qeshm hormozgan province waters. using total weight (w) and total length (tl) data, the length- weight relationship ...

This paper considers a decision-maker who prefers to make a point decision when the object of interest is interval-identi…ed with regular bounds. When the bounds are just identi…ed along with known interval length, the local asymptotic minimax decision with respect to a symmetric convex loss function takes an obvious form: an e¢ cient lower bound estimator plus the half of the known interval le...

The growth parameters, mortality rates and exploitation population dynamic parameters and exploitation rate of Psettodes erumei were assessed between July 2010 to June 2011 using length frequency analysis. The data were collected from landing sites of Jask, Bandar Abass, Kong and Qeshm Hormozgan province waters. Using total weight (W) and total length (TL) data, the length- weight relationship ...

The population parameters of Encrasicholina punctifer (Buccaneer anchovy) from commercial fishery in the Persian Gulf and Oman Sea coastal waters were studied from October 2014 to September 2015. A total of 13951 length-frequency data collected monthly by pair-boat purse seine and beach seine methods. The asymptotic length (L∞) and Von Bertalanffy growth function (K) were 11.5 cm and K = 1.4 pe...

Define the average path length in a connected graph as the sum of the length of the shortest path between all pairs of nodes, divided by the total number of pairs of nodes. Letting SN denote the sum of the shortest path lengths between all pairs of nodes in a complete m-ary tree of depth N , we derive a first-order linear but non-homogeneous recurrence relation for SN , from which a closed-form...